Finding the Fourth Proportional to 109.71, 164.61 and 65.82

Step by Step Solution

1. Step 1: Write the proportion equation
   109.71 : 164.61 = 65.82 : x
2. Step 2: Convert to fraction form
   109.71/164.61 = 65.82/x
3. Step 3: Cross multiply
   109.71x = 164.61 × 65.82
4. Step 4: Simplify right side
   109.71x = 10,834.63
5. Step 5: Solve for x
   x = 10,834.63/109.71
6. Step 6: Final answer
   x = 98.76